(5m-2)(3m-5)=0

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Solution for (5m-2)(3m-5)=0 equation: 


Simplifying
(5m + -2)(3m + -5) = 0

Reorder the terms:
(-2 + 5m)(3m + -5) = 0

Reorder the terms:
(-2 + 5m)(-5 + 3m) = 0

Multiply (-2 + 5m) * (-5 + 3m)
(-2(-5 + 3m) + 5m * (-5 + 3m)) = 0
((-5 * -2 + 3m * -2) + 5m * (-5 + 3m)) = 0
((10 + -6m) + 5m * (-5 + 3m)) = 0
(10 + -6m + (-5 * 5m + 3m * 5m)) = 0
(10 + -6m + (-25m + 15m2)) = 0

Combine like terms: -6m + -25m = -31m
(10 + -31m + 15m2) = 0

Solving
10 + -31m + 15m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2 + -5m)(5 + -3m) = 0


Subproblem 1
Set the factor '(2 + -5m)' equal to zero and attempt to solve:

Simplifying
2 + -5m = 0

Solving
2 + -5m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -5m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5m = 0 + -2
-5m = 0 + -2

Combine like terms: 0 + -2 = -2
-5m = -2

Divide each side by '-5'.
m = 0.4

Simplifying
m = 0.4

Subproblem 2
Set the factor '(5 + -3m)' equal to zero and attempt to solve:

Simplifying
5 + -3m = 0

Solving
5 + -3m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -3m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3m = 0 + -5
-3m = 0 + -5

Combine like terms: 0 + -5 = -5
-3m = -5

Divide each side by '-3'.
m = 1.666666667

Simplifying
m = 1.666666667
Solution
m = {0.4, 1.666666667}

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